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5. Let v1 = (1/3,−2/3,2/3), v2 = (2/3,−1/3,−2/3) and v3 = (2/3,2/3,1/3). (a) Verify that v1,...

5. Let v1 = (1/3,−2/3,2/3), v2 = (2/3,−1/3,−2/3) and v3 = (2/3,2/3,1/3).

(a) Verify that v1, v2, v3 is an orthonormal basis of R 3 .

(b) Determine the coordinates of x = (9, 10, 11), v1 − 4v2 and v3 with respect to v1, v2, v3.

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